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3.9: Use logarithmic differentiation to find if
use properties of log to write as a sum.
f(x)= x(x-1)(x-2)……..(x-1001)
ln(y)= ln*(x(x-1)(x-2)……..(x-1001))
1/y * y’= 1/x + (1/x-1) + (1/x-2)…….(1/x-1001)
y’ = y [ 1/x + (1/x-1) + (1/x-2)…… (1/x-1001) ] , (multiply both sides by y, when y= x(x-1)(x-2)……..(x-1001)
y’ = x(x-1)(x-2)……..(x-1001)* [ 1/x + (1/x-1) + (1/x-2)…… (1/x-1001) ]
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